Existence results for boundary value problems of second order impulsive differential equations
نویسندگان
چکیده
منابع مشابه
Existence of Solution for Four-Point Boundary Value Problems of Second-Order Impulsive Differential Equations (III)
In this paper, we study the existence of solution of the four-point boundary value problem for second-order differential equations with impulses by using Leray-Schauder theory: ⎧⎨ ⎩ x′′(t) = f(t, x(t), x′(t)), t ∈ [0, 1], t = tk, k = 1, 2,··· ,m Δx(tk) = Ik(x(tk)), k = 1, 2,··· ,m Δx′(tk) = Ik(x(tk), x ′(tk)), k = 1, 2,··· ,m x(0) = αx(ξ), x′(1) = βx′(η), (E) where 0 < ξ ≤ η < 1, α ≥ 0, β ≥ 0 a...
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In this paper, we study the existence of solution of the four-point boundary value problem for second-order differential equations with impulses by using leray-Schauder theory: ⎧⎨ ⎩ x′′(t) = f(t, x(t), x′(t)), t ∈ [0, 1], t = tk, k = 1, 2,··· ,m Δx(tk) = Ik(x(tk)), k = 1, 2,··· ,m Δx′(tk) = Ik(x(tk), x ′(tk)), k = 1, 2,··· ,m x′(0) = αx′(ξ), x(1) = βx(η), (E) where 0 < ξ ≤ η < 1, α ≥ 0, β ≥ 0 a...
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In this paper, we study the existence of solution of the four-point boundary value problem for second-order differential equations with impulses by using leray-Schauder theory: x′′(t) = f(t, x(t), x′(t)), t ∈ [0, 1], t 6= tk, k = 1, 2,··· ,m ∆x(tk) = Ik(x(tk)), k = 1, 2,··· ,m ∆x′(tk) = Ik(x(tk), x ′(tk)), k = 1, 2,··· ,m x(0) = αx(ξ), x(1) = βx(η), (E) where 0 < ξ ≤ η < 0, αξ(1 − β) + (1 ...
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This paper discusses a kind of linear boundary value problem for a nonlinear second order impulsive functional differential equations. We establish several existence results by using the lower and upper solutions and monotone iterative techniques. An example is discussed to illustrate the efficiency of the obtained result. © 2005 Elsevier Inc. All rights reserved.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1990
ISSN: 0022-247X
DOI: 10.1016/0022-247x(90)90285-n